Gyroelongated pentagonal cupola
In geometry, the gyroelongated pentagonal cupola is one of the Johnson solids. As the name suggests, it can be constructed by gyroelongating a pentagonal cupola by attaching a decagonal antiprism to its base. It can also be seen as a gyroelongated pentagonal bicupola with one pentagonal cupola removed.
Area and volume
With edge length a, the surface area isand the volume is
Dual polyhedron
The dual of the gyroelongated pentagonal cupola has 25 faces: 10 kites, 5 rhombi, and 10 pentagons.| Dual gyroelongated pentagonal cupola | Net of dual |